解题方法
1 . 设
是虚数,
是实数且
.
(1)求
的值以及
实部的取值范围;
(2)若
,求证:
为纯虚数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/174ce5fa8bd9b7c64f634c73f8e1c238.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fc19635488613e74ef7d770adcf9154.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d8b3f66119c2ce542984d12eb2b6b77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caf365042ac7c12643eac7c75a0fafad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
您最近一年使用:0次
名校
解题方法
2 . 已知
,
是方程
的两个根
(1)证明
;
(2)若复数
满足
,求
最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa224ed9be8766a4d0b5138bd57de0f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48fc19c302085de8a90e2827c32f15e7.png)
(1)证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de4aeb9a1df0e6ead9059a333db2fa29.png)
(2)若复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/843c531f403adf796fe8350e2f419c32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43e1543d6a2d6324ba2bcb51e79740f.png)
您最近一年使用:0次
名校
解题方法
3 . 设虚数z满足
.
(1)求证:
为定值;
(2)是否存在实数k,使
为实数?若存在,求出k的值;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ef308059830655a42c2a177ad9da3a5.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de971553ea8a66d7849b138a4a0625c5.png)
(2)是否存在实数k,使
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9e79363acfaa915637c6548d11f5cb1.png)
您最近一年使用:0次
2020-02-12更新
|
1103次组卷
|
3卷引用:福建福州第三中学2022-2023学年高一下学期期中考试数学试题